The only set of three numbers, of two, three, and
respectively, that will fulfil the required conditions is 27
× 594 =
These three numbers contain all the nine digits and 0, without
repetition; the first two numbers multiplied together make the third,
the second is exactly twenty-two times the first.
the numbers might
contain one, four, and five figures respectively, there would be many
correct answers, such as 3 × 5,694 = 17,082; but it is a
that there is only one answer to the problem as propounded, though it
no easy matter to prove that this is the case.